552958272000 has 640 divisors, whose sum is σ = 2131687134720. Its totient is φ = 141034291200.

The previous prime is 552958271969. The next prime is 552958272019. The reversal of 552958272000 is 272859255.

552958272000 is a `hidden beast` number, since 5 + 529 + 58 + 2 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39737044 + ... + 39750956.

It is an arithmetic number, because the mean of its divisors is an integer number (3330761148).

Almost surely, 2^552958272000 is an apocalyptic number.

552958272000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552958272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065843567360).

552958272000 is an abundant number, since it is smaller than the sum of its proper divisors (1578728862720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

552958272000 is a wasteful number, since it uses less digits than its factorization.

552958272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13978 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 552958272000 in words is "five hundred fifty-two billion, nine hundred fifty-eight million, two hundred seventy-two thousand".